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In this paper, we present a theoretical description to the quantum coherenceand decoherence phenomena of energy transfer in photosynthesis observed in arecent experiment [see Science 316, 1462 (2007)]. As a successive two-colorlaser pulses with selected frequencies cast on a sample of the photosyntheticpurple bacterium Rb. sphaeroides two resonant excitations of electrons inchromophores can be generated. However, this effective two-level subsystem willinteract with its protein environment and decoherence is inevitable. Wedescribe this subsystem coupled with its environment as a dynamical spin-bosonmodel. The non-Markovian decoherence dynamics is described using aquasi-adiabatic propagator path integral (QUAPI) approach. With thephoton-induced effective time-dependent level splitting energy and level flipcoupling coefficient between the two excited states and the environment-inducednon-Markovian decoherence dynamics, our theoretical result is in good agreementwith the experimental data.

Decoherence of coherent electronic excited state in the reaction center of the photosynthetic purple bacterium Rhodobacter sphaeroides